skbio.diversity.alpha.esty_ci#

skbio.diversity.alpha.esty_ci(counts)[source]#

Calculate Esty’s confidence interval of Good’s coverage estimator.

Esty’s confidence interval is defined as:

\[F_1/N \pm z\sqrt{W}\]

where \(F_1\) is the number of singleton taxa, \(N\) is the total number of individuals, and \(z\) is a constant that depends on the targeted confidence and based on the normal distribution.

\(W\) is defined as:

\[\frac{F_1(N-F_1)+2NF_2}{N^3}\]

where \(F_2\) is the number of doubleton taxa.

Parameters:

counts1-D array_like, int: Vector of counts.

Returns:

tuple: Esty’s confidence interval as (lower_bound, upper_bound).